Sean has some candy bars that he wants to give away. He is going to give each person 1/18 of a bar, and he has 2 3/4 to give awa
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Answer:
The answer is c) 761.0
Step-by-step explanation:
Mathematical hope (also known as hope, expected value, population means or simply means) expresses the average value of a random phenomenon and is denoted as E (x). Hope is the sum of the product of the probability of each event by the value of that event. It is then defined as shown in the image, Where x is the value of the event, P the probability of its occurrence, "i" the period in which said event occurs and N the total number of periods or observations.
The variance of a random variable provides an idea of the dispersion of the random variable with respect to its hope. It is then defined as shown in the image.
Then you first calculate E [x] and E [], and then be able to calculate the variance.
E[X]=88
So <em>E[X]²=88²=7744</em>
On the other hand
E[x²]=0+5+250+8250
<em>E[x²]=8505 </em>
Then the variance will be:
Var[x]=8505-7744
<u><em>Var[x]=761 </em></u>
Answer:
15.1
Step-by-step explanation:
We know that the area of the circle is , but we are looking for the portion of the circle, this means we multiply it by the portion of the circle that is shaded.
Area of shaded region =
where r = 4 and x = 108, the 360 comes from the fact that the total degrees around the circle is 360, so dividing the total amount of degrees by the angle will give us the portion we are looking for.
Area of shaded region = = 15.1
Another way to think about it is that the area of the total circle is , multiplying it by a fraction, a number less than 1, would give us a smaller value.
Hope this helps.